The lattice of ideals of a numerical semigroup and its frobenius restricted variety associated Moreno Frías, María Ángeles Rosales González, José Carlos Let Δ be a numerical semigroup. In this work we show that J (Δ) = {I ∪ {0}: I is an ideal of Δ} is a distributive lattice, which in addition is a Frobenius restricted variety. We give an algorithm which allows us to compute the set Ja(Δ) = {S ∈ J (Δ): max(Δ\S) = a} for a given a 2 Δ. As a consequence, we obtain another algorithm that computes all the elements of J (Δ) with a fixed genus. 2024-10-07T10:44:36Z 2024-10-07T10:44:36Z 2023-10-23 journal article Moreno Frías, M.A. & Rosales González, J.C. 149 (2024) No. 3, 439–454. [10.21136/MB.2023.0038-23] https://hdl.handle.net/10481/95629 10.21136/MB.2023.0038-23 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Akademie věd České republiky